Question

Suppose that the national average for the math portion of the College Board’s SAT is 515.
The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores.
a. What percentage of students have an SAT math score greater than 615?
b. What percentage of students have an SAT math score greater than 715?
c. What percentage of students have an SAT math score between 415 and 515?
d. What is the z-score for student with an SAT math score of 620?
e. What is the z-score for a student with an SAT math score of 405?